Abstract
Clathrate hydrates may turn out either a blessing or a curse for mankind. On one hand, they constitute a huge reservoir of fossil fuel. On the other hand, their decomposition may liberate large amounts of green house gas and have disastrous consequences on sea floor stability. It is thus of paramount importance to understand the formation and stability of these guest–host compounds. Neutron diffraction has successfully occupied a prominent place on the stage of these scientific investigations. Complete understanding, however, is not achieved without an explanation for the thermal properties of clathrates. In particular, the thermal conductivity has a large influence on clathrate formation and conservation. Neutron spectroscopy allows probing the microscopic dynamics of clathrate hydrates. We will show how comparative studies of vibrations in clathrate hydrates give insight into the coupling of the guest to the host lattice. This coupling together with the anharmonicity of the vibrational modes is shown to lay the foundations for the peculiar thermodynamic properties of clathrate hydrates. The results obtained reach far beyond the specific clathrate system. Similar mechanisms are expected to be at work in any guest–host complex.
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Notes
- 1.
For a good overview, see Kuhs and Hansen [11] and references therein.
- 2.
He used the wording “There may thus arise a structural combination of two substances which remain associated not through strong attraction between them but because strong mutual binding of the molecules of one sort only makes possible the firm enclosure of the other. It is suggested that the general character of this type of combination should be indicated by the description clathrate compound – clathratus, enclosed or protected by cross bars of a grating.”
- 3.
Changing the structure, atomic masses, or atomic interactions alters the dispersion relations. While a reduction in the mean slope of the dispersion (lower average \(v_{\rm ph}\)) may favor a lower conductivity, the effect may in exceptional cases be compensated by a resulting reduced phase space for scattering [31].
- 4.
Only in very pure samples of large dimensions the very few remaining Umklapp processes are the limiting factor for thermal conductivity at low temperature.
- 5.
- 6.
It has, however, to be noted that the formalism proposed here relies on the existence of well-defined excitations, which can be enumerated as a function of energy (i.e., via a density-of-states). It is not easily applicable when the microscopic motions have a relaxation character as is the case for THF clathrate in the rotator phase.
- 7.
The correction of multi-phonon contributions is possible [51]. The description of the various aspects of this problem is, however, beyond the scope of the basic introduction given in this section.
- 8.
The external modes of the \({\rm H}_{2}{\rm O}\) molecule are found at still higher frequencies.
- 9.
This holds provided that the variation of the scattering induced by the Debye-Waller factor and higher-order phonon terms compensate, which is normally the case over quite extended temperature ranges [54].
- 10.
We classify here the modes according to their polarization character. So a mode with in-phase motion of the atoms is considered acoustic even if it has already crossed lower lying dispersion sheets, and thus in a purely academic sense should be denoted as optic.
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Koza, M.M., Schober, H. (2009). Vibrational Dynamics and Guest–Host Coupling in Clathrate Hydrates. In: Liang, L., Rinaldi, R., Schober, H. (eds) Neutron Applications in Earth, Energy and Environmental Sciences. Neutron Scattering Applications and Techniques. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-09416-8_12
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